{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.neural_network import MLPClassifier\n",
    "from sklearn.datasets import load_digits\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import classification_report,confusion_matrix\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "digits = load_digits()#载入数据\n",
    "x_data = digits.data #数据\n",
    "y_data = digits.target #标签\n",
    "\n",
    "x_train,x_test,y_train,y_test = train_test_split(x_data,y_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "MLPClassifier(activation='relu', alpha=0.0001, batch_size='auto', beta_1=0.9,\n",
       "       beta_2=0.999, early_stopping=False, epsilon=1e-08,\n",
       "       hidden_layer_sizes=(100, 50), learning_rate='constant',\n",
       "       learning_rate_init=0.001, max_iter=500, momentum=0.9,\n",
       "       nesterovs_momentum=True, power_t=0.5, random_state=None,\n",
       "       shuffle=True, solver='adam', tol=0.0001, validation_fraction=0.1,\n",
       "       verbose=False, warm_start=False)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mlp = MLPClassifier(hidden_layer_sizes = (100,50),max_iter = 500)\n",
    "mlp.fit(x_train,y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#数据中心化\n",
    "def zeroMean(dataMat):\n",
    "    #按列求平均，即各个特征的平均\n",
    "    meanVal = np.mean(dataMat,axis=0)\n",
    "    newData = dataMat - meanVal\n",
    "    return newData,meanVal\n",
    "\n",
    "def pca(dataMat,top):\n",
    "    #数据中心化\n",
    "    newData,meanVal = zeroMean(dataMat)\n",
    "    #np.cov用于求助协方差矩阵，参数rowvar=0说明数据一行代表一个样本\n",
    "    covMat = np.cov(newData,rowvar=0)\n",
    "    #np.linalg.eig求矩阵的特征值和特征向量\n",
    "    eigVals,eigVects = np.linalg.eig(np.mat(covMat))\n",
    "    #对特征值从小到大排序\n",
    "    eigValIndice = np.argsort(eigVals)\n",
    "    #最大的top个特征值的下标\n",
    "    n_eigValIndice = eigValIndice[-1:-(top+1):-1]\n",
    "    #最大的top个特征值对应的特征向量\n",
    "    n_eigVect = eigVects[:,n_eigValIndice]\n",
    "    #低维特征空间的数据\n",
    "    lowDDataMat = newData*n_eigVect\n",
    "    #利用低维度数据来重构数据\n",
    "    reconMat = (lowDDataMat*n_eigVect.T)+meanVal\n",
    "    #返回低维特征空间的数据和重构的矩阵\n",
    "    return lowDDataMat,reconMat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "lowDDataMat,reconMat = pca(x_data,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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7qWYtRyBkGQIIKmdgqJ2YgGAbVeV18P1bWV6mUd+ng4hXJazFX4KY3I9A1GNU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\nIpjgG4ZhtAgm+IZhGC2CCb5hGEaL8P/EQocQMRBqSwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x20c556aa668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#重构数据\n",
    "x = np.array(lowDDataMat)[:,0]\n",
    "y = np.array(lowDDataMat)[:,1]\n",
    "plt.scatter(x,y,c='r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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grHK7eOyBeykoqMWBDdmasGHD+tLxjLj1ds7tdxOjVtbireIWdO16Adu3beXi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bqpTaoZTaqpRqczmuYzAYDIaL55IVvlKqJNAaSMq1LQ7oCsQB7YEJSqkLKrab31i8ePHVFuG8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\nXu8xnd0jWs8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x20c555c4710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#重构数据\n",
    "x = np.array(lowDDataMat)[:,0]\n",
    "y = np.array(lowDDataMat)[:,1]\n",
    "plt.scatter(x,y,c=y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "lowDDataMat,reconMat = pca(x_data,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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wk2OzEqXtwMmcg1iPb6TKIeeGOY+TNWDAz86Z9DO25JppjTvgQptmPhyWNuk8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x20c57e754a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D \n",
    "x = np.array(lowDDataMat)[:,0]\n",
    "y = np.array(lowDDataMat)[:,1]\n",
    "z = np.array(lowDDataMat)[:,2]\n",
    "ax = plt.figure().add_subplot(111,projection = '3d')\n",
    "ax.scatter(x,y,z,c=y_data,s=10) #点为红色三角形\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [Root]",
   "language": "python",
   "name": "Python [Root]"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
